A Domain Decomposition Method for Linearized Boussinesq-Type Equations

Authors

  • Joao Guilherme Caldas Steinstraesser Inria, IMAG, Univ Montpellier, CNRS, Montpellier, France
  • Gaspard Kemlin Inria Chile, Avenida Apoquindo 2827, Las Condes, Santiago, Chile
  • Antoine Rousseau Inria, IMAG, Univ Montpellier, CNRS, Montpellier, France

DOI:

https://doi.org/10.4208/jms.v52n3.19.06

Keywords:

Boussinesq-type equations, finite differences scheme, transparent boundary conditions, domain decomposition, interface conditions, Schwarz alternating method.

Abstract

In this paper, we derive discrete transparent boundary conditions for a class of linearized Boussinesq equations. These conditions happen to be non-local in time and we test numerically their accuracy with a Crank-Nicolson time-discretization on a staggered grid. We use the derived transparent boundary conditions as interface conditions in a domain decomposition method, where they become local in time. We analyze numerically their efficiency thanks to comparisons made with other interface conditions.

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Published

2019-09-16

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Issue

Vol. 52 No. 3 (2019)

Section

Articles

How to Cite

A Domain Decomposition Method for Linearized Boussinesq-Type Equations. (2019). Journal of Mathematical Study, 52(3), 320-340. https://doi.org/10.4208/jms.v52n3.19.06